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Neporo4naja [7]
2 years ago
5

Find 4/9 of 6:9 in simplest form

Mathematics
1 answer:
Yanka [14]2 years ago
3 0

Answer:Change values to whole numbers.

Convert any mixed numbers to fractions.

Convert 3 1/8

3 1/8 = 25/8

We now have:

5 : 3 1/8 = 5 : 25/8

Convert the whole number 5 to a fraction with 1 in the denominator.

We then have:

5 : 3 1/8 = 5/1 : 25/8

Convert fractions to integers by eliminating the denominators.

Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator

LCD(5/1, 25/8) = 8

We now have:

5 : 3 1/8 = 40/8 : 25/8

Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.

We then have:

5 : 3 1/8 = 40 : 25

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 40 and 25 is 5

Divide both terms by the GCF, 5:

40 ÷ 5 = 8

25 ÷ 5 = 5

The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

40 : 25 = 8 : 5

Therefore:

5 : 3 1/8 = 8 : 5

Step-by-step explanation:

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Sue buys 5 pieces of fabric.Each piece is 1 7/10 yards long.What is the total length of the fabric she buys?One yard of the fabr
irina [24]

Answer:

The total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .

Step-by-step explanation:

As given

Sue buys 5 pieces of fabric.

Each\ piece\ is\ 1 \frac{7}{10}\ yards\ long.

i.e

Each\ piece\ is\ \frac{17}{10}\ yards\ long.

Total\ length\ of\ fabric\ sue\ buys = \frac{5\times 17}{10}\ yards

Total\ length\ of\ fabric\ sue\ buys = \frac{85}{10}\ yards

In the decimal form

Total length of fabric sue buys = 8.5 yards

As given

One yard of the fabric costs $5

Total\ cost\ of\ fabric\ sue\ buys = 8.5\times 5

                                                            = $ 42.5  

Therefore the total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .


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Step-by-step explanation:

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